Journal of University of Chinese Academy of Sciences >
Polynomial automorphisms and Jacobian conjecture in two variables
Received date: 2012-06-07
Revised date: 2012-08-31
Online published: 2013-07-15
In this paper, we first give the inverse formula of polynomial automorphisms in two variables if one of the polynomials' degrees is prime. Secondly, we prove that the polynomial automorphisms in two variables are linearly triangularizable if the polynomials' degrees are primes. Finally, we give a way to find the inverse of the polynomial automorphisms in two variables in other cases and give the exact form of their inverses if n and m are fixed, where n=degF1 and nm=degF2.
Key words： Jacobian conjecture; polynomial mapping; inverse formula
YAN Dan , TANG Guo-Ping . Polynomial automorphisms and Jacobian conjecture in two variables[J]. Journal of University of Chinese Academy of Sciences, 2013 , 30(4) : 438 -442 . DOI: 10.7523/j.issn.2095-6134.2013.04.002
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